Two balls of equal mass (0.60kg ) approach the origin along the positive x - and
ID: 1314482 • Letter: T
Question
Two balls of equal mass (0.60kg ) approach the origin along the positive x- and y-axes at the same speed (3.0m/s ).What is the magnitude of the total momentum of the system?What is the direction of the total momentum of the system?
Will the balls necessarily collide at the origin?
Will the balls necessarily collide at the origin?
no
What is the magnitude of the total momentum of the system after both balls have passed through the origin?What is the direction of the total momentum of the system after both balls have passed through the origin?
yesno
What is the magnitude of the total momentum of the system after both balls have passed through the origin?What is the direction of the total momentum of the system after both balls have passed through the origin?
Explanation / Answer
momentum alon x axis is m1ux = 0.6 * 3 = 1.8 kgm/s
monemtun along y axis is m2uy = 0.6 *3 = 1.8 kgm/s
net momentum along mutual perpendicualr axes is sqrt(m1ux)^2+ m(2uy)^2
= 1.8^2 +1.8^2
= 2.5455 Kgm/s
direction of resultant momentum = tan^-1(1.8/1.8)
tan-1 (1)
= 45 deg